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Finding the Fourth Proportional to 1,042.78, 1,572 and 972.32

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Solution

The fourth proportional to 1,042.78, 1,572 and 972.32 is: 1,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.78 : 1,572 = 972.32 : x
  2. Step 2: Convert to fraction form
    1,042.78/1,572 = 972.32/x
  3. Step 3: Cross multiply
    1,042.78x = 1,572 × 972.32
  4. Step 4: Simplify right side
    1,042.78x = 1,528,487.04
  5. Step 5: Solve for x
    x = 1,528,487.04/1,042.78
  6. Step 6: Final answer
    x = 1,465.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.